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Finding the Fourth Proportional to 27,654, 38,162.52 and 15,078.78

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Solution

The fourth proportional to 27,654, 38,162.52 and 15,078.78 is: 20,808.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,654 : 38,162.52 = 15,078.78 : x
  2. Step 2: Convert to fraction form
    27,654/38,162.52 = 15,078.78/x
  3. Step 3: Cross multiply
    27,654x = 38,162.52 × 15,078.78
  4. Step 4: Simplify right side
    27,654x = 575,444,243.33
  5. Step 5: Solve for x
    x = 575,444,243.33/27,654
  6. Step 6: Final answer
    x = 20,808.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.